Exponential%20Functions - PowerPoint PPT Presentation

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Exponential%20Functions

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Radioactive substance is dangerous because it decays and emits harmful radiation ... Dr. Gordan Moore is the co-founder of Intel. Moore's Law was formulated in 1965 ... – PowerPoint PPT presentation

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Title: Exponential%20Functions


1
Exponential Functions
Maths Online
  • Why study graphs of exponential functions?

2
Radioactive Decay
Maths Online
  • Radioactive substance is dangerous because it
    decays and emits harmful radiation
  • Radioactive substance will decay to half its mass
    over a period of time
  • This period of time is called the half-life of
    the radioactive substance

3
Radioactive Decay
Maths Online
Amount left is given by yy0e-?t where decay
constant ?ln 2/half-life
4
Moores Law
Maths Online
  • Dr. Gordan Moore is the co-founder of Intel
  • Moores Law was formulated in 1965
  • No. of transistors in a silicon chip doubles
    every 2 years
  • 1965 - 240 transistors
  • Pentium 4 (2000) - 42 million transistors

5
Moores Law
Maths Online
6
Moores Law
Maths Online
  • 1965 - 240 transistors
  • Pentium 4 (2000) - 42 million transistors
  • Moores Law
  • 240 x 2 0.5 t 240 x 217.5 44 millions

7
Conclusion
Maths Online
  • We use exponential graphs whenever something
    increases or decreases by 2 (or any factor) over
    the same intervals of time
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